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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012, Issue 4, Pages 146–155 (Mi vuu356)  
This article is cited in 9 scientific papers (total in 9 papers)

MECHANICS

Stability analysis of periodic solutions in the problem of the rolling of a ball with a pendulum

E. N. Pivovarova, T. B. Ivanova

Department of Theoretical Physics, Udmurt State University, Izhevsk, Russia
Full-text PDF (709 kB) Citations (9)
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Abstract: In the paper we study the stability of a spherical shell rolling on a horizontal plane with Lagrange's gyroscope inside. A linear stability analysis is made for the upper and lower position of a top. A bifurcation diagram of the system is constructed. The trajectories of the contact point for different values of the integrals of motion are constructed and analyzed.
Keywords: rolling motion, stability, Lagrange’s gyroscope, bifurcational diagram.
Received: 13.08.2012
Document Type: Article
UDC: 531.31
MSC: 37J60
Language: Russian
Citation: E. N. Pivovarova, T. B. Ivanova, “Stability analysis of periodic solutions in the problem of the rolling of a ball with a pendulum”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 4, 146–155
Citation in format AMSBIB
\Bibitem{PivIva12}
\by E.~N.~Pivovarova, T.~B.~Ivanova
\paper Stability analysis of periodic solutions in the problem of the rolling of a~ball with a~pendulum
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2012
\issue 4
\pages 146--155
\mathnet{http://mi.mathnet.ru/vuu356}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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